It is given in the question that
[tex]2(2x-1)>6 \ or \ x+3 \leq -6[/tex]
For th first inequality, we divide both sides by 2, and for second, we subtract 3 to both sides, that is
[tex]2x-1>3 \ or \ x \leq -6-3 \\ 2x>4 \ or \ x \leq -9 \\ x>2 \ or \ x \leq -9[/tex]
So the required inequality is
[tex](- \infty, -9] U (2, \infty)[/tex]
Correct option is B